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arxiv: 1212.5279 · v2 · pith:SBOVN5OAnew · submitted 2012-12-20 · 🧮 math.QA · math.RA

Lifting via cocycle deformation

classification 🧮 math.QA math.RA
keywords algebracocycleliftingbosonizationcomputecosemisimpledeformationdeformations
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We develop a strategy to compute all liftings of a Nichols algebra over a finite dimensional cosemisimple Hopf algebra. We produce them as cocycle deformations of the bosonization of these two. In parallel, we study the shape of any such lifting.

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